Least Common Multiple of 7/87, 47/894, 57/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7/87, 47/894, 57/700 quickly i.e. 18753 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/87, 47/894, 57/700 is 18753.

LCM(7/87, 47/894, 57/700) = 18753

LCM of 7/87, 47/894, 57/700

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 7/87,47/894,57/700

Given numbers are 7/87,47/894,57/700

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 7,47,57

Least Common Multiple of Numerators i.e. LCM of 7,47,57 is 18753.

GCF of Denominators means GCF of 87,894,700 as per the given fractions.

GCF of 87,894,700 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,47,57

LCM of Fractions 7/87,47/894,57/700 is 18753

Given numbers has no common factors except 1. So, there LCM is their product i.e 18753

Least Common Multiple of 7,47,57 with GCF Formula

Least Common Multiple of 7,47,57 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 7,47,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,47,57) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(7,47,57) x common factors =1 x 1 = 1

LCM(7,47,57) = ( 7 × 47 × 57 ) / 1

LCM(7,47,57) = 18753 / 1

LCM(7,47,57) = 18753


Lets's calculate GCF of 87,894,700

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18753/1

Therefore the LCM of Fractions 7/87,47/894,57/700 is 18753

Greatest Common Factor of 87,894,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,894,700 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 87,894,700 . The biggest common factor number is the GCF number.
So the greatest common factor 87,894,700 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7/87, 47/894, 57/700

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 7/87, 47/894, 57/700?

Answer: LCM of Numerators as per given numbers 7/87, 47/894, 57/700 is

LCM of Numerators i.e. for 7,47,57 is 18753

GCF of denominators i.e. for 87,894,700 is 1.

Thus, LCM of Fractions is 18753.Finally, LCM of Fractions for 7/87, 47/894, 57/700 is 18753.